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Finding the Third Proportional to 2,617,144 and 3,938,809

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Solution

The third proportional to 2,617,144 and 3,938,809 is: 5,927,918.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617,144 : 3,938,809 = 3,938,809 : x
  2. Step 2: Convert to fraction form
    2,617,144/3,938,809 = 3,938,809/x
  3. Step 3: Cross multiply
    2,617,144x = 3,938,809 × 3,938,809
  4. Step 4: Simplify right side
    2,617,144x = 15,514,216,338,481
  5. Step 5: Solve for x
    x = 15,514,216,338,481/2,617,144
  6. Step 6: Final answer
    x = 5,927,918.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.